1Department of Informatics and Engineering Jingdezhen Ceramic Institute (XiangHu XiaoQu) Jingdezhen, Jiangxi 333403, China 2Institute of Mathematics and Informatics Jiangxi Normal University Nanchang, Jiangxi 330027, China
Annales Polonici Mathematici, Tome 97 (2010) no. 2, pp. 123-136
We investigate the exponent of convergence of
the zero-sequence of solutions of the differential equation
$$
f^{(k)}+a_{k-1}(z)f^{(k-1)}+\cdots+a_1(z)f' +D(z)f=0,
\tag{1}$$
where $D(z)=Q_1(z)e^{P_1(z)}+Q_2(z)e^{P_2(z)}+Q_3(z)e^{P_3(z)}$,
$P_1(z), P_2(z), P_3(z)$ are polynomials of degree $n\geq1$,
$Q_1(z),Q_2(z),Q_3(z),a_j(z)$$(j=1,\ldots,$$k-1)$ are entire
functions of order less
than $n$, and $k\geq2$.
Keywords:
investigate exponent convergence zero sequence solutions differential equation k k cdots tag where polynomials degree geq ldots k entire functions order geq
Affiliations des auteurs :
Hong-Yan Xu
1
;
Cai-Feng Yi
2
1
Department of Informatics and Engineering Jingdezhen Ceramic Institute (XiangHu XiaoQu) Jingdezhen, Jiangxi 333403, China
2
Institute of Mathematics and Informatics Jiangxi Normal University Nanchang, Jiangxi 330027, China
@article{10_4064_ap97_2_2,
author = {Hong-Yan Xu and Cai-Feng Yi},
title = {Zeros of solutions of certain higher order linear
differential equations},
journal = {Annales Polonici Mathematici},
pages = {123--136},
year = {2010},
volume = {97},
number = {2},
doi = {10.4064/ap97-2-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap97-2-2/}
}
TY - JOUR
AU - Hong-Yan Xu
AU - Cai-Feng Yi
TI - Zeros of solutions of certain higher order linear
differential equations
JO - Annales Polonici Mathematici
PY - 2010
SP - 123
EP - 136
VL - 97
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4064/ap97-2-2/
DO - 10.4064/ap97-2-2
LA - en
ID - 10_4064_ap97_2_2
ER -
%0 Journal Article
%A Hong-Yan Xu
%A Cai-Feng Yi
%T Zeros of solutions of certain higher order linear
differential equations
%J Annales Polonici Mathematici
%D 2010
%P 123-136
%V 97
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ap97-2-2/
%R 10.4064/ap97-2-2
%G en
%F 10_4064_ap97_2_2
Hong-Yan Xu; Cai-Feng Yi. Zeros of solutions of certain higher order linear
differential equations. Annales Polonici Mathematici, Tome 97 (2010) no. 2, pp. 123-136. doi: 10.4064/ap97-2-2
